Capacity, Stability, and Extremal Length
We begin by considering a harmonic function whose boundary behavior is a combination of L0- and L1-type behavior. This leads to a generalization of harmonic measure and capacity. In §2 we relate this function to some extremal length problems. The remaining sections treat applications to conformal mapping and stability problems.
KeywordsRiemann Surface Boundary Component Ideal Boundary Extremal Length Nonempty Closed Subset
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